829297153 has 2 divisors, whose sum is σ = 829297154. Its totient is φ = 829297152.

The previous prime is 829297121. The next prime is 829297181. The reversal of 829297153 is 351792928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 699496704 + 129800449 = 26448^2 + 11393^2 .

It is a cyclic number.

It is not a de Polignac number, because 829297153 - 2⁵ = 829297121 is a prime.

It is not a weakly prime, because it can be changed into another prime (829297103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414648576 + 414648577.

It is an arithmetic number, because the mean of its divisors is an integer number (414648577).

Almost surely, 2^829297153 is an apocalyptic number.

It is an amenable number.

829297153 is a deficient number, since it is larger than the sum of its proper divisors (1).

829297153 is an equidigital number, since it uses as much as digits as its factorization.

829297153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 272160, while the sum is 46.

The square root of 829297153 is about 28797.5199105756. The cubic root of 829297153 is about 939.5142929850.

The spelling of 829297153 in words is "eight hundred twenty-nine million, two hundred ninety-seven thousand, one hundred fifty-three".